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Finding the Third Proportional to 923,989,942 and 1,409,257,608

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Solution

The third proportional to 923,989,942 and 1,409,257,608 is: 2,149,381,627.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,989,942 : 1,409,257,608 = 1,409,257,608 : x
  2. Step 2: Convert to fraction form
    923,989,942/1,409,257,608 = 1,409,257,608/x
  3. Step 3: Cross multiply
    923,989,942x = 1,409,257,608 × 1,409,257,608
  4. Step 4: Simplify right side
    923,989,942x = 1,986,007,005,705,881,600
  5. Step 5: Solve for x
    x = 1,986,007,005,705,881,600/923,989,942
  6. Step 6: Final answer
    x = 2,149,381,627.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.